Loop quantum cosmology (LQC) is the result of applying principles of loop quantum gravity
(LQG) to cosmological settings. The distinguishing feature of LQC is the prominent role …

I give a synthetic presentation of loop quantum gravity. I present the aims of the theory and
compare the results obtained with the initial hopes that motivated the early interest in this …

Cosmological perturbations are generally described by quantum fields on (curved but)
classical space-times. While this strategy has a large domain of validity, it can not be justified …

This Chapter provides an up to date, pedagogical review of some of the most relevant
advances in loop quantum cosmology. We review the quantization of homogeneous …

Introduction to Loop Quantum Cosmology Symmetry, Integrability and Geometry: Methods
and Applications (SIGMA) SIGMA 8 (2012), 016, 73 pages arXiv:1109.6801 https://doi.org/10.3842/SIGMA.2012.016 …

Inflationary models of the early universe provide a natural mechanism for the formation of
large scale structure. This success brings to forefront the question of naturalness: Does a …

Loop quantum cosmology yields two kinds of quantum corrections to the effective equations
of motion for cosmological perturbations. Here we focus on the holonomy kind and we study …

This article lays out a complete framework for an effective theory of cosmological
perturbations with corrections from canonical quantum gravity. Since several examples exist …

We provide an exhaustive numerical exploration of the predictions of loop quantum
cosmology with a postbounce phase of inflation for the primordial power spectrum of scalar …

Quantum gravity is sometimes considered as a kind of metaphysical speculation. In this
review, we show that, although still extremely difficult to reach, observational signatures can …